Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften, 319) by Martin R. Bridson | (PDF) Free Download

Description

A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds. More specialized topics, such as complexes of groups, are covered in Part III.

User’s Reviews

Editorial Reviews: Review “This book is beautifully and clearly written and contains many illustrations and examples but also many deep results.It is my opinion that this book will become a standard work in mathematical literature and will be used by many people, from undergraduates to specialists.”K. Dekimpe in “Nieuw Archief voor Wiskunde”, June 2001″In conclusion, it can be said that the book is an indispensable reference and a very useful tool for graduate students who want to learn this theory as well as for researchers working in the subject. The exposition is clear, the proofs are complete, and some of the advanced results that are discussed are original. Every section of the book contains interesting historical remarks and comments.”A. Papadopoulos in “Zentralblatt für Mathematik und ihre Grenzgebiete”, 2002

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Interested in geometric group theory? Then this is a must book to read. Clear well-presented book.

⭐I’m surprised that nobody has taken the time to review this book yet! It is a very good book, and one of the standard references on Alexandrov geometry and geometric group theory. Naturally it covers some fairly advanced material (keeping in mind the word ‘advanced’ is always relative), but it is difficult to imagine a book that presents the subject matter as straightforwardly and as transparently as is done here—it’s 600 pages reflect both the amount of material and the authors’ goal of giving a thorough, understandable exposition. Even if you’re not interested in the more specialized topics, this book presents the basic facts about length metric spaces, CAT(k) spaces, Gromov hyperbolic spaces, etc. as cleanly as you’ll find anywhere.This book overlaps significantly with “A course in metric space geometry” by D. Burago, Y. Burago, and Ivanov, though I actually found the exposition in Bridson and Haefliger’s book superior. (The irony is that the former book won the prestigious Steele prize for mathematical exposition—I’d imagine more for choice of topics covered and for attempting to write to a younger audience than quality of writing.) Of course, both books are useful, especially since the Burago/Burago/Ivanov book covers the other half of Alexandrov geometry, namely spaces of curvature bounded below.

⭐this is a terrific book.I’ve read-or attempted to read-several other expositions of this theory-and this one beats the lot-because of it’s clarity,precision and completeness.

Keywords

Free Download Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften, 319) in PDF format
Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften, 319) PDF Free Download
Download Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften, 319) 2009 PDF Free
Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften, 319) 2009 PDF Free Download
Download Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften, 319) PDF
Free Download Ebook Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften, 319)